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Finding the Third Proportional to 2,127,818 and 3,191,691

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Solution

The third proportional to 2,127,818 and 3,191,691 is: 4,787,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,818 : 3,191,691 = 3,191,691 : x
  2. Step 2: Convert to fraction form
    2,127,818/3,191,691 = 3,191,691/x
  3. Step 3: Cross multiply
    2,127,818x = 3,191,691 × 3,191,691
  4. Step 4: Simplify right side
    2,127,818x = 10,186,891,439,481
  5. Step 5: Solve for x
    x = 10,186,891,439,481/2,127,818
  6. Step 6: Final answer
    x = 4,787,482.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.